Download or read book A Kinetic fluid Model written by C. Z. Cheng and published by . This book was released on 1998 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kinetic Theory and Fluid Dynamics written by Yoshio Sone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
Download or read book Fluid Dynamic and Kinetic Modeling of the Near Cathode Region in Thermal Plasmas written by Frank H. Scharf and published by Logos Verlag Berlin GmbH. This book was released on 2009 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: High intensity discharge (HID) lamps are often found in high power lighting applications, such as car head lights, video projectors, or stadium lights. The characteristics of such discharges are mainly determined by the plasma in the near-cathode region. This work investigates the near-cathode region with fluid dynamic and kinetic methods. The kinetic model, which is solved by expanding the heavy particle distribution functions into Hermite and Laguerre polynomials, proves to be more powerful and accurate.
Download or read book A Kinetic fluid Model written by C.Z. Cheng and published by . This book was released on 1998 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modeling in Applied Sciences written by Nicola Bellomo and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Self-contained introduction to kinetic models * Becker–Doring equations * Nonlinear kinetic models with chemical reactions * Kinetic traffic-flow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.
Download or read book Direct Modeling For Computational Fluid Dynamics Construction And Application Of Unified Gas kinetic Schemes written by Kun Xu and published by World Scientific. This book was released on 2014-12-23 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed through a direct modeling of flow motion in such a space. This book presents the principle of direct modeling for the CFD algorithm development, and the construction unified gas-kinetic scheme (UGKS). The UGKS accurately captures the gas evolution from rarefied to continuum flows. Numerically it provides a continuous spectrum of governing equation in the whole flow regimes.
Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2004-04-07 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Download or read book Colisionless Kinetic fluid Model of Zonal Flows in Toroidal Plasmas written by H. Sugama and published by . This book was released on 2006 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Download or read book Collisionless Kinetic fluid Model of Zonal Flows in Toroidal Plasmas written by Hideo Sugama and published by . This book was released on 2006 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in Kinetic Theory written by Thierry Passot and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.
Download or read book Kinetic Alfv n Waves in Laboratory Space and Astrophysical Plasmas written by De-Jin Wu and published by Springer Nature. This book was released on 2020-01-07 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic introduction to the observation and application of kinetic Alfven waves (KAWs) in various plasma environments, with a special focus on the solar-terrestrial coupling system. Alfven waves are low-frequency and long-wavelength fluctuations that pervade laboratory, space and cosmic plasmas. KAWs are dispersive Alfven waves with a short wavelength comparable to particle kinematic scales and hence can play important roles in the energization and transport of plasma particles, the formation of fine magneto-plasma structures, and the dissipation of turbulent Alfven waves. Since the 1990s, experimental studies on KAWs in laboratory and space plasmas have significantly advanced our understanding of KAWs, making them an increasingly interesting subject. Without a doubt, the solar–terrestrial coupling system provides us with a unique natural laboratory for the comprehensive study of KAWs. This book presents extensive observations of KAWs in solar and heliospheric plasmas, as well as numerous applications of KAWs in the solar-terrestrial coupling system, including solar atmosphere heating, solarwind turbulence, solar wind-magnetosphere interactions, and magnetosphere-ionosphere coupling. In addition, for the sake of consistency, the book includes the basic theories and physical properties of KAWs, as well as their experimental demonstrations in laboratory plasmas. In closing, it discusses possible applications of KAWs to other astrophysical plasmas. Accordingly, the book covers all the major aspects of KAWs in a coherent manner that will appeal to advanced graduate students and researchers whose work involves laboratory, space and astrophysical plasmas.
Download or read book Mathematical Modeling for Complex Fluids and Flows written by Michel Deville and published by Springer Science & Business Media. This book was released on 2012-01-13 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling for Complex Fluids and Flows provides researchers and engineering practitioners encountering fluid flows with state-of-the-art knowledge in continuum concepts and associated fluid dynamics. In doing so it supplies the means to design mathematical models of these flows that adequately express the engineering physics involved. It exploits the implicit link between the turbulent flow of classical Newtonian fluids and the laminar and turbulent flow of non-Newtonian fluids such as those required in food processing and polymeric flows. The book develops a descriptive mathematical model articulated through continuum mechanics concepts for these non-Newtonian, viscoelastic fluids and turbulent flows. Each complex fluid and flow is examined in this continuum context as well as in combination with the turbulent flow of viscoelastic fluids. Some details are also explored via kinetic theory, especially viscoelastic fluids and their treatment with the Boltzmann equation. Both solution and modeling strategies for turbulent flows are laid out using continuum concepts, including a description of constructing polynomial representations and accounting for non-inertial and curvature effects. Ranging from fundamental concepts to practical methodology, and including discussion of emerging technologies, this book is ideal for those requiring a single-source assessment of current practice in this intricate yet vital field.
Download or read book A Kinetic Model for Dense Fluids written by Samuel Hopkins Francis and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modeling in Applied Sciences written by N. Bellomo and published by . This book was released on 2000 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classical Fluid Mechanics written by Michael Belevich and published by Bentham Science Publishers. This book was released on 2017-09-19 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible modifications of the initial model which either make the model applicable in some special cases (viscous or turbulent fluids) or simplify it in accordance with peculiarity of a particular problem (hydrostatics, two-dimensional flows, boundary layers, etc.). The book explains theoretical concepts in two parts. The first part is dedicated to the derivation of the classical model of the perfect fluid. The second part of the book covers important modifications to the fluid model which account for calculations of momentum, force and the laws of energy conservation. Concepts in this section include the redefinition of the stress tensor in cases of viscous or turbulent flows and laminar and turbulent boundary layers. The text is supplemented by appropriate exercises and problems which may be used in practical classes. These additions serve to teach students how to work with complex systems governed by differential equations. Classical Fluid Mechanics is an ideal textbook for students undertaking semester courses on fluid physics and mechanics in undergraduate degree programs. This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible modifications of the initial model which either make the model applicable in some special cases (viscous or turbulent fluids) or simplify it in accordance with peculiarity of a particular problem (hydrostatics, two-dimensional flows, boundary layers, etc.). The book explains theoretical concepts in two parts. The first part is dedicated to the derivation of the classical model of the perfect fluid. The second part of the book covers important modifications to the fluid model which account for calculations of momentum, force and the laws of energy conservation. Concepts in this section include the redefinition of the stress tensor in cases of viscous or turbulent flows and laminar and turbulent boundary layers. The text is supplemented by appropriate exercises and problems which may be used in practical classes. These additions serve to teach students how to work with complex systems governed by differential equations. Classical Fluid Mechanics is an ideal textbook for students undertaking semester courses on fluid physics and mechanics in undergraduate degree programs.
Download or read book Monte Carlo Principles and Neutron Transport Problems written by Jerome Spanier and published by Courier Corporation. This book was released on 2008-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part treatment introduces the general principles of the Monte Carlo method within a unified mathematical point of view, applying them to problems in neutron transport. It describes several efficiency-enhancing approaches, including the method of superposition and simulation of the adjoint equation based on reciprocity. The first half of the book presents an exposition of the fundamentals of Monte Carlo methods, examining discrete and continuous random walk processes and standard variance reduction techniques. The second half of the text focuses directly on the methods of superposition and reciprocity, illustrating their applications to specific neutron transport problems. Topics include the computation of thermal neutron fluxes and the superposition principle in resonance escape computations.
